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Finding the Fourth Proportional to 3,980.84, 5,972.15 and 2,130.98

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Solution

The fourth proportional to 3,980.84, 5,972.15 and 2,130.98 is: 3,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.84 : 5,972.15 = 2,130.98 : x
  2. Step 2: Convert to fraction form
    3,980.84/5,972.15 = 2,130.98/x
  3. Step 3: Cross multiply
    3,980.84x = 5,972.15 × 2,130.98
  4. Step 4: Simplify right side
    3,980.84x = 12,726,507.67
  5. Step 5: Solve for x
    x = 12,726,507.67/3,980.84
  6. Step 6: Final answer
    x = 3,196.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.